MEDIUM
Stage 1 & 2
IMPORTANT
Earn 100

In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl, if each cricket team of 11 must include exactly 4 bowlers?

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Important Questions on Permutations and Combinations

EASY
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 3
In how many different ways can five boys and five girls form a circle such that the boys and girls set alternate?
HARD
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 4
In how many of the distinct permutations of the letters in the MISSISSIPPI do the four I's not come together?
EASY
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 5

In how many ways can the letters of the word PERMUTATIONS be arranged, if the words start with P and end with S?

MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 6

The number of ways in which seven persons can be arranged at a round table, if two particular persons may not sit together is

MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 7

How many numbers lying between 10 and 1000 can be formed from the digits 1,2,3,4,5,6,7,8,9 (repetition of digits is allowed?)

MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 8

Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is 

MEDIUM
Stage 1 & 2
IMPORTANT
Target NTSE Class 10 Stage 1 & 2 Solved Papers (2015 – 19)>Chapter 18 - Permutations and Combinations>Target Exercise>Q 9

A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is